Dowker, H. F. and Sorkin, R. D. (1998) A spinstatistics theorem for certain topological geons. Classical and Quantum Gravity, 15 (5). pp. 11531167. ISSN 02649381. http://resolver.caltech.edu/CaltechAUTHORS:20111221102042639

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Abstract
We review the mechanism in quantum gravity whereby topological geons, particles made from nontrivial spatial topology, are endowed with nontrivial spin and statistics. In a theory without topology change there is no obstruction to `anomalous' spinstatistics pairings for geons. However, in a sumoverhistories formulation including topology change, we show that nonchiral Abelian geons do satisfy a spinstatistics correlation if they are described by a wavefunction which is given by a functional integral over metrics on a particular 4manifold. This manifold describes a topology changing process which creates a pair of geons from R^3.
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Additional Information:  © 1998 IOP Publishing Ltd. Received 8 December 1997. It is a pleasure to thank Lee Brekke, Andrew Chamblin, John Friedman, Nico Giulini, Bob Gompf, Jorma Louko, Trevor Samols and Don Witt for help and interesting discussions. RDS was supported in part by NSF grant no PHY9307570 and HFD by the DOE and NASA grant NAGW2381 at Fermilab, by NSF grant no PHY9008502 at Santa Barbara and by the US Department of Energy under grant no DEFG0392ER40701 at Caltech. She also thanks the Instituto de Ciencias Nucleares at the Universidad Nacional Autonoma de Mexico for hospitality during the completion of this work.  
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Classification Code:  PACS: 0460, 0460G, 0240, 0530  
Record Number:  CaltechAUTHORS:20111221102042639  
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:20111221102042639  
Official Citation:  A spinstatistics theorem for certain topological geons H F Dowker and R D Sorkin 1998 Class. Quantum Grav. 15 1153  
Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided.  
ID Code:  28546  
Collection:  CaltechAUTHORS  
Deposited By:  Tony Diaz  
Deposited On:  23 Dec 2011 17:30  
Last Modified:  26 Dec 2012 14:38 
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